Question

Which of the following events are equal?

(a) A = {1, 3};

(b) B = {x | x is a number on a die};

(c) C = {x | x2 − 4x +3=0};

(d) D = {x | x is the number of heads when six coins

are tossed}.

Answer 1

Equal events are (a) and (c), each of them consists of the numbers 1 and 3. These numbers are the roots of the equation $x^2-4x+3=0.$

Events (b) and (d) are not equal because the number of heads may be 0 and the number of a die can take on values from 1 to 6.